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Yorick.sf.net in Education / Mathematics

**What is Yorick?**

Yorick is an interpreted programming language for scientific simulations or calculations, postprocessing or steering large simulation codes, interactive scientific graphics, and reading, writing, or translating large files of numbers. Yorick includes an interactive graphics package, and a binary file package capable of translating to and from the raw numeric formats of all modern computers. Yorick is written in ANSI C and runs on most operating systems (*nix systems, Windows, MacOS).

**Yorick Examples**

*Drumhead motion*

The movie to the right shows the motion of a circular drumhead. The drumhead started with a bump in about the same location you see; it has fallen, split in half, run around to the opposite side of the drum, reflected, and returned to near its initial position at the time of this frame. The computational mesh is visible; it divides the circle into a 30x30 grid. This is one of three different kinds of movies of the same calculation, which you can study in the yorick source file demo2.i. Although yorick-1.5 has only 2D graphics, there are several packages that use interpreted code to do the geometry and lighting calculations to produce pictures like this one. However, this one was made using the pl3d function in demo2.i, rather than a general purpose routine like plwf. Yorick is fast enough that this movie, including both the wave solver (mostly the laplacian function in demo2.i) and the lighting and projection calculations, runs at about 20 frames per second on a 266 MHz Pentium II.

*Flow past an airfoil*

The Jakowski transform z --> z+a2/z maps a circle of radius a in the complex z-plane into a slot of length 4a. Slightly larger circles map to an airfoil shape you see in the picture to the right. Creating this picture required about 60 lines of yorick code, which you can study in the source file demo4.i. There, the get_mesh function creates a 120x30 mesh of complex numbers, uniformly distributed in radius and angle around the outside of a circle. The solve function distorts this uniform mesh into the shape you see by means of two Jakowski transformations, performed by the one-line jakowski function. At the same time, solve keeps track of the velocity potential, and finally computes the pressure field from Bernoulli's law and the velocity field. Finally, the display function uses yorick's plotting functions to draw the background shading (using plf) -- light where the pressure is high, and dark where the pressure is low -- contours of the imaginary part of the velocity potential (using plc) -- the flow lines -- and the outline of the airfoil itself (using plg).

wxMaxima is a document based interface **for** the computer algebra system Maxima. wxMaxima uses wxWidgets and runs natively on Windows, X11 and **Mac** OS X. wxMaxima provides menus and dialogs **for** many common maxima commands, autocompletion, inline plots and ... math calculations to create documents. See the howto **for** tips on how to use these features. Documents .... Free download of wxMaxima for Mac OS X 19.01.2

FreeMat is a free environment **for** rapid engineering and scientific prototyping and data processing. ... Index Generation Operator * typerules TYPERULES Type Rules **for** Operators * plus PLUS Addition Operator * minus ... Conditional Statements * while WHILE While Loop * **for FOR For** Loop * continue CONTINUE Continue Execution In Loop. Free download of FreeMat for Mac OS X 4.2

What is **Yorick**? **Yorick** is an interpreted programming language **for** scientific simulations or calculations, postprocessing or steering large ... reading, writing, or translating large files of numbers. **Yorick** includes an interactive graphics package, and a binary ... the raw numeric formats of all modern computers. **Yorick** is written in ANSI C and runs on .... Free download of Yorick for Windows 2.2.0.4

Group Explorer is mathematical visualization software **for** the abstract algebra classroom. It helps the user ... of key terms and hyperlinks that create illustrations **for** you. This page only scratches the surface. ... group library contains 3D visualizations of these objects **for** every such group. Sheets Group Explorer can .... Free download of Group Explorer for Mac OS X 2.2.0.0

GeoGebra **for Mac** is free and multi-platform dynamic mathematics software **for** all levels of education that joins geometry, algebra, ... materials as web pages, available in many languages **for** our millions of users around the world, and .... Free download of GeoGebra for Mac 6.0.536.0

Math software for students studying precalculus. Free download of Math Center Level 1 1.0.1.9

Quick and easy maths training application for learning times tables and sums.. Free download of JXCirrus Maths for Windows 1.6.00

Quick and easy maths training application for learning times tables and sums.. Free download of JXCirrus Maths for Linux 1.6.00

High-level interpreted language, primarily intended for numerical computations. Free download of Octave 3.6.4

Quick and easy maths training application for learning times tables and sums.. Free download of JXCirrus Maths for Mac 1.6.00